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Finding the Third Proportional to 548,064 and 1,200,864

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Solution

The third proportional to 548,064 and 1,200,864 is: 2,631,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,064 : 1,200,864 = 1,200,864 : x
  2. Step 2: Convert to fraction form
    548,064/1,200,864 = 1,200,864/x
  3. Step 3: Cross multiply
    548,064x = 1,200,864 × 1,200,864
  4. Step 4: Simplify right side
    548,064x = 1,442,074,346,496
  5. Step 5: Solve for x
    x = 1,442,074,346,496/548,064
  6. Step 6: Final answer
    x = 2,631,215.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.